Question 1107291
If you mean, {{{g(x)=-3x-2}}} then,
{{{g(2)=-3(2)-2=-6-2=-8}}}
{{{G(5)=-3(5)-2=-15-2=-17}}}
So then,
{{{ARC=(g(5)-g(2))/(5-2)=(-17-(-8))/3=-9/3=-3}}}
The average rate of change for a linear function is equal to the slope of the linear function. 
In this case,{{{m=-3}}}